Search a number
-
+
112111211 is a prime number
BaseRepresentation
bin1101010111010…
…10111001101011
321210221211200002
412223222321223
5212200024321
615042533215
72530633562
oct653527153
9253854602
10112111211
11583138a3
123166720b
131a2c42c4
1410c64bd9
159c9820b
hex6aeae6b

112111211 has 2 divisors, whose sum is σ = 112111212. Its totient is φ = 112111210.

The previous prime is 112111193. The next prime is 112111213.

112111211 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112111211 is a prime.

Together with 112111213, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 112111192 and 112111201.

It is not a weakly prime, because it can be changed into another prime (112111213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56055605 + 56055606.

It is an arithmetic number, because the mean of its divisors is an integer number (56055606).

Almost surely, 2112111211 is an apocalyptic number.

112111211 is a deficient number, since it is larger than the sum of its proper divisors (1).

112111211 is an equidigital number, since it uses as much as digits as its factorization.

112111211 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4, while the sum is 11.

The square root of 112111211 is about 10588.2581664786. The cubic root of 112111211 is about 482.1879443022.

Multiplying 112111211 by its sum of digits (11), we get a palindrome (1233223321).

The spelling of 112111211 in words is "one hundred twelve million, one hundred eleven thousand, two hundred eleven".